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Finding the Third Proportional to 3,403.50 and 8,370.38

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Solution

The third proportional to 3,403.50 and 8,370.38 is: 20,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.50 : 8,370.38 = 8,370.38 : x
  2. Step 2: Convert to fraction form
    3,403.50/8,370.38 = 8,370.38/x
  3. Step 3: Cross multiply
    3,403.50x = 8,370.38 × 8,370.38
  4. Step 4: Simplify right side
    3,403.50x = 70,063,177.64
  5. Step 5: Solve for x
    x = 70,063,177.64/3,403.50
  6. Step 6: Final answer
    x = 20,585.63

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.